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5265513760 = 255132987293
BaseRepresentation
bin1001110011101100…
…10101110100100000
3111120221222210222011
410321312111310200
541240432420020
62230254122304
7244325062033
oct47166256440
914527883864
105265513760
112262277471
12102b4b0394
1365bb73720
1437d45901a
1520c40235a
hex139d95d20

5265513760 has 96 divisors (see below), whose sum is σ = 13858795440. Its totient is φ = 1877127168.

The previous prime is 5265513749. The next prime is 5265513769. The reversal of 5265513760 is 673155625.

It can be written as a sum of positive squares in 8 ways, for example, as 2683654416 + 2581859344 = 51804^2 + 50812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5265513769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16674 + ... + 103966.

Almost surely, 25265513760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5265513760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929397720).

5265513760 is an abundant number, since it is smaller than the sum of its proper divisors (8593281680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5265513760 is a wasteful number, since it uses less digits than its factorization.

5265513760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87350 (or 87342 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 5265513760 is about 72563.8598752850. The cubic root of 5265513760 is about 1739.7235831660.

The spelling of 5265513760 in words is "five billion, two hundred sixty-five million, five hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 87293 174586 349172 436465 698344 872930 1134809 1396688 1745860 2269618 2531497 2793376 3491720 4539236 5062994 5674045 6983440 9078472 10125988 11348090 12657485 13966880 18156944 20251976 22696180 25314970 32909461 36313888 40503952 45392360 50629940 65818922 81007904 90784720 101259880 131637844 164547305 181569440 202519760 263275688 329094610 405039520 526551376 658189220 1053102752 1316378440 2632756880 5265513760